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Appell‐Hamel dynamical system: a nonlinear test of the Chetaev and the vakonomic model
Author(s) -
Xu S.S.,
Li S.M.,
Berakdar J.
Publication year - 2007
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200710344
Subject(s) - tangent , euler's formula , nonlinear system , classical mechanics , physics , dynamical systems theory , mathematics , mathematical analysis , geometry , quantum mechanics
We contrast the results of the Chetaev and vakonomic models of nonholonomic mechanics when applied to the nonholonomically constrainted Appell‐Hamel dynamical system with a nonvanishing constant force parallel to the tangent direction of the wheel. We find that the Chetaev result is compatible with Newton‐Euler solution while the vakonomic model yields results inconsistent with the predictions of the Newton‐Euler mechanics.